Properties

Label 7938.2.da
Level $7938$
Weight $2$
Character orbit 7938.da
Rep. character $\chi_{7938}(193,\cdot)$
Character field $\Q(\zeta_{189})$
Dimension $54432$
Sturm bound $3024$

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Defining parameters

Level: \( N \) \(=\) \( 7938 = 2 \cdot 3^{4} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7938.da (of order \(189\) and degree \(108\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3969 \)
Character field: \(\Q(\zeta_{189})\)
Sturm bound: \(3024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7938, [\chi])\).

Total New Old
Modular forms 163728 54432 109296
Cusp forms 162864 54432 108432
Eisenstein series 864 0 864

Decomposition of \(S_{2}^{\mathrm{new}}(7938, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(7938, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7938, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3969, [\chi])\)\(^{\oplus 2}\)